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Finding the Fourth Proportional to 2,646.17, 3,651.81 and 1,784.99

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Solution

The fourth proportional to 2,646.17, 3,651.81 and 1,784.99 is: 2,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.17 : 3,651.81 = 1,784.99 : x
  2. Step 2: Convert to fraction form
    2,646.17/3,651.81 = 1,784.99/x
  3. Step 3: Cross multiply
    2,646.17x = 3,651.81 × 1,784.99
  4. Step 4: Simplify right side
    2,646.17x = 6,518,431.25
  5. Step 5: Solve for x
    x = 6,518,431.25/2,646.17
  6. Step 6: Final answer
    x = 2,463.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.